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Finding the Fourth Proportional to 210,268.90, 290,160.95 and 119,616.33

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Solution

The fourth proportional to 210,268.90, 290,160.95 and 119,616.33 is: 165,064.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,268.90 : 290,160.95 = 119,616.33 : x
  2. Step 2: Convert to fraction form
    210,268.90/290,160.95 = 119,616.33/x
  3. Step 3: Cross multiply
    210,268.90x = 290,160.95 × 119,616.33
  4. Step 4: Simplify right side
    210,268.90x = 34,707,987,948.31
  5. Step 5: Solve for x
    x = 34,707,987,948.31/210,268.90
  6. Step 6: Final answer
    x = 165,064.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.